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Finding the Fourth Proportional to 520.56, 780.12 and 469.26

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Solution

The fourth proportional to 520.56, 780.12 and 469.26 is: 703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 780.12 = 469.26 : x
  2. Step 2: Convert to fraction form
    520.56/780.12 = 469.26/x
  3. Step 3: Cross multiply
    520.56x = 780.12 × 469.26
  4. Step 4: Simplify right side
    520.56x = 366,079.11
  5. Step 5: Solve for x
    x = 366,079.11/520.56
  6. Step 6: Final answer
    x = 703.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.